[tex] \\ \\ [/tex]
y varies inversely as x and y= 16 when x= 12. Find the constant of variation.
[tex] \\ y = \frac{k}{x} \\ \\ [/tex]
Evaluate the values
[tex] \\ 16 = \frac{k}{12} \\ \\ [/tex]
Multiply 12 to both sides
[tex] \\ (12)(16) = \frac{k}{12} (12) \\ \\ [/tex]
Cancel both 12 from the right side
[tex] \\ (12)(16) = \frac{k}{ \cancel{12}} ( \cancel{12}) \\ \\ [/tex]
Multiply 12 by 16
[tex] \\ \large\green{ \boxed{ \green{ \sf{k = 192}}}} \\ \\ \\ \\ [/tex]
#CarryOnLearning
